Least Common Multiple of 51/90, 69/47, 128/262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/90, 69/47, 128/262 quickly i.e. 150144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/90, 69/47, 128/262 is 150144.

LCM(51/90, 69/47, 128/262) = 150144

LCM of 51/90, 69/47, 128/262

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 51/90,69/47,128/262

Given numbers are 51/90,69/47,128/262

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 51,69,128

Least Common Multiple of Numerators i.e. LCM of 51,69,128 is 150144.

GCF of Denominators means GCF of 90,47,262 as per the given fractions.

GCF of 90,47,262 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,69,128

LCM of Fractions 51/90,69/47,128/262 is 150144

3 51, 69, 128
17, 23, 128

∴ So the LCM of the given numbers is 3 x 17 x 23 x 128 = 150144

Least Common Multiple of 51,69,128 with GCF Formula

Least Common Multiple of 51,69,128 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 51,69,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,69,128) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(51,69,128) x common factors =1 x 3 = 3

LCM(51,69,128) = ( 51 × 69 × 128 ) / 3

LCM(51,69,128) = 450432 / 3

LCM(51,69,128) = 150144


Lets's calculate GCF of 90,47,262

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 150144/1

Therefore the LCM of Fractions 51/90,69/47,128/262 is 150144

Greatest Common Factor of 90,47,262 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,47,262 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Greatest Common Factor

We found the factors 90,47,262 . The biggest common factor number is the GCF number.
So the greatest common factor 90,47,262 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 51/90, 69/47, 128/262

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 51/90, 69/47, 128/262?

Answer: LCM of Numerators as per given numbers 51/90, 69/47, 128/262 is

LCM of Numerators i.e. for 51,69,128 is 150144

GCF of denominators i.e. for 90,47,262 is 1.

Thus, LCM of Fractions is 150144.Finally, LCM of Fractions for 51/90, 69/47, 128/262 is 150144.